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Mathematics

₹ 600 shares of a company are available at a discount of 20%. If the company pays a dividend of 20%, the rate of return is :

  1. 16%

  2. 25%

  3. 10%

  4. 12.5%

Shares & Dividends

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Answer

Given,

N.V. of share = ₹ 600

Discount = 20%

M.V. = N.V. - Discount

= ₹ 600 - 20%

= ₹ 600 - 20100×600\dfrac{20}{100} \times 600

= ₹ 600 - ₹ 120 = ₹ 480.

Dividend = 20%

Let rate of return be r%.

We know that,

Interest on M.V. = Dividend on N.V.

r% of ₹ 480 = 20% of ₹ 600

r100×480=20100×6004.8r=120r=1204.8r=25%.\Rightarrow \dfrac{r}{100} \times 480 = \dfrac{20}{100} \times 600 \\[1em] \Rightarrow 4.8r = 120 \\[1em] \Rightarrow r = \dfrac{120}{4.8} \\[1em] \Rightarrow r = 25\%.

Hence, Option 2 is the correct option.

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